Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

Activities for teaching mathematics in kindergarten through grade 8 are included in this guide. Both original ideas and ideas gleaned from various sources, including teachers in the district, are presented. The introduction briefly discusses the importance of developing understanding of concepts, processes, and relationships, the need for…

Intended for use as a part of the adult basic education teaching/learning management system called CUBE (Continuity and Unity in Basic Education), these instructional materials consist of a math placement inventory, guide sheets, mastery tests, and eight sections of learning activities covering areas of basic mathematics. Topics addressed in the…

The idea that studying part-whole number relationships can foster a better understanding of number concepts, addition, subtraction, fractions, decimals, ratios, and percentages depending on the age of the student is discussed. Activities that incorporate number relationships and representations are presented. (KR)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

An array model is discussed as an alternative approach to reviewing the four basic operations with fractions; it could help motivate students. (MP)

A method of using a diagram to investigate properties of fractions is described. (DT)

This compilation is drawn from the IDEAS section that has been a feature of the "Arithmetic Teacher" since 1971. The contents are arranged in the following categories: Computation, Fractions and Decimals, Developing Number Patterns, Using Flowcharts, Problem Solving, Geometry, and Metric Measure. All selections are reprinted just as they…

Simple patterns both in mathematics and music are discussed. Several activities using standard instruments and handmade devices are described. (MNS)

Fifteen mathematical puzzles and problems are presented. Areas investigated include pentominoes, arithmetic, fractions, and dissections (dissecting) a shape into two pieces that can be fitted together to form a square. Answers for each puzzle and problems are included. (JN)

Paper folding and coloring activities are presented which involve the use of rectangular and square regions as models for basic fraction concepts. Rules for a fraction game also are included. (DT)

A program in BASIC which decomposes fractions is provided. Activities related to student use of the program are listed. (SD)

A sequence of seven activities in which metersticks and string are used to measure objects is described. Using this graded series of exercises, decimals less than one can be introduced in a natural way. (SD)

Presents: (1) a computer program which will change a fraction into a decimal; (2) a program in which students supply missing lines to create the output given; and (3) suggestions for adding computer awareness to classrooms, including use of used punch cards and old computer-generated printouts. (JN)